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This book represents a joint effort by a research engineer and a mathematician. Theinitial idea for it arose from our many years of experience in the automotiveindustry, advanced research development, and of course from our commonresearch interest in applied mathematics, physics, and engineering. The mainreason for this cooperation is the fact that mathematicians generally approachproblems using mathematical rigor, but which need not always be practicallyapplicable; at the same time, engineers usually deal with problems involvingapplied mathematics, which must ultimately work in the real world of industry.
Having recognized that what mathematicians consider rigor can be more like rigormortis for engineers and physicists, this joint effort proposes a compromisebetween the mathematical rigors and less rigorous applied mathematics, incor-porating different points of view.
Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers
Our main aim is to bridge the mathematical gap between where physics andengineering mathematics end and where tensor analysis begins, which we do withthe help of a powerful and user-friendly tool often employed in computationalmethods for physical and engineering problems in any general curvilinear coor-dinate system. Marques Lego Playmobil Djeco Janod. Tensor analysis and elementary differential geometry for physicists and engineers.
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Adobe DRM. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world.
Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics CFD , and continuum mechanics.
The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers. New Book. Delivered from our UK warehouse in 4 to 14 business days. Established seller since Seller Inventory IQ Shipped from UK.
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Neuware - This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: - General Basis and Bra-Ket Notation - Tensor Analysis - Elementary Differential Geometry - Differential Forms - Applications of Tensors and Differential Geometry - Tensors and Bra-Ket Notation in Quantum Mechanics The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics.
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Seller Inventory Star Publisher: Springer , This specific ISBN edition is currently not available. View all copies of this ISBN edition:. Synopsis About this title This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins.
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